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Finding the Fourth Proportional to 1,265.37, 1,746.27 and 768.06

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Solution

The fourth proportional to 1,265.37, 1,746.27 and 768.06 is: 1,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.37 : 1,746.27 = 768.06 : x
  2. Step 2: Convert to fraction form
    1,265.37/1,746.27 = 768.06/x
  3. Step 3: Cross multiply
    1,265.37x = 1,746.27 × 768.06
  4. Step 4: Simplify right side
    1,265.37x = 1,341,240.14
  5. Step 5: Solve for x
    x = 1,341,240.14/1,265.37
  6. Step 6: Final answer
    x = 1,059.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.